The figure is made up of 4 identical rectangles, V, W, X and Y. The perimeter of rectangle V is 138 cm.
- What is the breadth of rectangle W?
- Find the area of rectangle X.
(a)
Rectangles V, W, X and Y are identical.
Breadth of Rectangle V = 1 u
Length of Rectangle W = 2 u
Perimeter of Rectangle V
= 1 u + 1 u + 2 u + 2 u
= 6 u
6 u = 138
1 u = 138 ÷ 6 = 23
Breadth of Rectangle W = 23 cm
(b)
Length of Rectangle X
= 2 u
= 2 x 23
= 46 cm
Area of Rectangle X
= 46 x 23
= 1058 cm
2 Answer(s): (a) 23 cm; (b) 1058 cm
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